Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects

[摘要] This paper is concerned with the initial-boundary value problem to 2D magnetohydrodynamics-Boussinesq system with the temperature-dependent viscosity, thermal diffusivity and electrical conductivity. First, we establish the global weak solutions under the minimal initial assumption. Then by imposing higher regularity assumption on the initial data, we obtain the global strong solution with uniqueness. Moreover, the exponential decay rates of weak solutions and strong solution are obtained respectively. (C) 2017 Elsevier Inc. All rights reserved.

[发布日期] 2017-12-15

[关键词] MHD-Boussinesq system;Temperature-dependent viscosity;Initial-boundary value problem